Transforming the Area under the Normal Curve (AUC) into Cohen’s d, Pearson’s r pb , Odds-Ratio, and Natural Log Odds-Ratio: Two Conversion Tables

The importance of the area under the normal curve (AUC) as a measure of the effect size (ES) in applied and forensic research has been highlighted in several articles and Tables for converting the AUC curve into Pearson’s rpb and Cohen’s d have been published. No Tables have been published for conve...

Full description

Bibliographic Details
Main Author: Jesús F. Salgado
Format: Article
Language:English
Published: Sociedad Española de Psicología Jurídica y Forense 2018-01-01
Series:European Journal of Psychology Applied to Legal Context
Subjects:
Online Access: http://journals.copmadrid.org/ejpalc/files/articulo20180110113806.pdf
_version_ 1819101623548379136
author Jesús F. Salgado
author_facet Jesús F. Salgado
author_sort Jesús F. Salgado
collection DOAJ
description The importance of the area under the normal curve (AUC) as a measure of the effect size (ES) in applied and forensic research has been highlighted in several articles and Tables for converting the AUC curve into Pearson’s rpb and Cohen’s d have been published. No Tables have been published for converting AUC into other frequently used effect size indexes, such as OR and Ln(OR). In this article, two Tables for 500 AUC three-digit values provide the equivalent values for converting AUC into four ESs, including Cohen’s d values, Pearson’s rpb, odds-ratio (OR), and Ln(OR). In the case of rpb, the values are given for four base rates (.5, .3, .2, and .1). In addition, the formulas for transforming AUC into these effect sizes are provided, so researchers can calculate other values which have not been included in the Tables.
first_indexed 2024-12-22T01:21:37Z
format Article
id doaj.art-9ccf7073581342e595ab5790754ddb31
institution Directory Open Access Journal
issn 1889-1861
1989-4007
language English
last_indexed 2024-12-22T01:21:37Z
publishDate 2018-01-01
publisher Sociedad Española de Psicología Jurídica y Forense
record_format Article
series European Journal of Psychology Applied to Legal Context
spelling doaj.art-9ccf7073581342e595ab5790754ddb312022-12-21T18:43:43ZengSociedad Española de Psicología Jurídica y ForenseEuropean Journal of Psychology Applied to Legal Context1889-18611989-40072018-01-01103510.5093/ejpalc2018a511320559Transforming the Area under the Normal Curve (AUC) into Cohen’s d, Pearson’s r pb , Odds-Ratio, and Natural Log Odds-Ratio: Two Conversion TablesJesús F. SalgadoThe importance of the area under the normal curve (AUC) as a measure of the effect size (ES) in applied and forensic research has been highlighted in several articles and Tables for converting the AUC curve into Pearson’s rpb and Cohen’s d have been published. No Tables have been published for converting AUC into other frequently used effect size indexes, such as OR and Ln(OR). In this article, two Tables for 500 AUC three-digit values provide the equivalent values for converting AUC into four ESs, including Cohen’s d values, Pearson’s rpb, odds-ratio (OR), and Ln(OR). In the case of rpb, the values are given for four base rates (.5, .3, .2, and .1). In addition, the formulas for transforming AUC into these effect sizes are provided, so researchers can calculate other values which have not been included in the Tables. http://journals.copmadrid.org/ejpalc/files/articulo20180110113806.pdf Area under the normal curveROCEffect sizerpbdLn(OR)Odds-ratio
spellingShingle Jesús F. Salgado
Transforming the Area under the Normal Curve (AUC) into Cohen’s d, Pearson’s r pb , Odds-Ratio, and Natural Log Odds-Ratio: Two Conversion Tables
European Journal of Psychology Applied to Legal Context
Area under the normal curve
ROC
Effect size
rpb
d
Ln(OR)
Odds-ratio
title Transforming the Area under the Normal Curve (AUC) into Cohen’s d, Pearson’s r pb , Odds-Ratio, and Natural Log Odds-Ratio: Two Conversion Tables
title_full Transforming the Area under the Normal Curve (AUC) into Cohen’s d, Pearson’s r pb , Odds-Ratio, and Natural Log Odds-Ratio: Two Conversion Tables
title_fullStr Transforming the Area under the Normal Curve (AUC) into Cohen’s d, Pearson’s r pb , Odds-Ratio, and Natural Log Odds-Ratio: Two Conversion Tables
title_full_unstemmed Transforming the Area under the Normal Curve (AUC) into Cohen’s d, Pearson’s r pb , Odds-Ratio, and Natural Log Odds-Ratio: Two Conversion Tables
title_short Transforming the Area under the Normal Curve (AUC) into Cohen’s d, Pearson’s r pb , Odds-Ratio, and Natural Log Odds-Ratio: Two Conversion Tables
title_sort transforming the area under the normal curve auc into cohen s d pearson s r pb odds ratio and natural log odds ratio two conversion tables
topic Area under the normal curve
ROC
Effect size
rpb
d
Ln(OR)
Odds-ratio
url http://journals.copmadrid.org/ejpalc/files/articulo20180110113806.pdf
work_keys_str_mv AT jesusfsalgado transformingtheareaunderthenormalcurveaucintocohensdpearsonsrpboddsratioandnaturallogoddsratiotwoconversiontables